A Durrmeyer-type variant of Gr\"unwald Interpolation Operators
Functional Analysis
2026-04-22 v1
Abstract
In this paper, we construct a Durrmeyer-type variant of Gr\"unwald interpolation operators on the space . We prove their fundamental properties, including boundedness and convergence in the -norm. We establish the convergence results using a Korovkin-type theorem in the setting of Banach function spaces. Furthermore, we obtain quantitative estimates for the convergence by means of the modulus of continuity and an appropriate -functional.
Cite
@article{arxiv.2604.19190,
title = {A Durrmeyer-type variant of Gr\"unwald Interpolation Operators},
author = {P. C. Vinaya},
journal= {arXiv preprint arXiv:2604.19190},
year = {2026}
}